Human effort just isn't worth very much. The strongest humans on earth can manage about 400W for an hour. Even very small ebike motors are usually capable of 500w continuous/forever, so long as the motor does not spend too much time stalled or at very low speeds.
For a normal human, a "legal" 250w motor is easily doubling or tripling their normal power output, so hauling around an extra 20kg on top of the existing ~100kg body + bike is not a big deal.
I forget the weight is just regular weight not weight on the wheels. Good point.
A heavy battery makes an ebike extremely unpleasant to pedal manually. You should try it.
I built almost exactly the same size pack (2 kWH) as Jacques in 2020 on a hybrid road bike and hated it so much that I only rode it 20 times or so. The battery still sits in the corner of my house doing nothing.